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Addition and Subtraction Properties of Equality

The Addition Property of Equality states that adding the same number to each side of an equation yields an equivalent equation.

a = b,

then

a + c = b + c .

The Subtraction Property of Equality is similar to the Addition one, with the exception being the sign used — subtracting the same number from each side of an equation yields an equivalent equation.

a = b,

then

a - c = b - c .

Either of these properties can be used when eliminating a term in an equation. Deciding which to use depends on if the term is being added to or subtracted from the variable.

Misc Addition and Subtraction Property of Equality 1.svg

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